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Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays

机译:具有多比例时滞和分布时滞的随机模糊递归神经网络的均方指数输入到状态稳定性

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摘要

We are interested in a class of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays. By constructing suitable Lyapunov-Krasovskii functionals and applying stochastic analysis theory, Ito's formula and Dynkin's formula, we derive novel sufficient conditions for mean-square exponential input-to-state stability of the suggested system. Some remarks and discussions are given to show that our results extend and improve some previous results in the literature. Finally, two examples and their simulations are provided to illustrate the effectiveness of the theoretical results.
机译:我们对一类具有多比例时滞和分布时滞的随机模糊递归神经网络感兴趣。通过构建合适的Lyapunov-Krasovskii泛函并应用随机分析理论,伊藤公式和Dynkin公式,我们得出了所建议系统均方指数输入至状态稳定性的新颖充分条件。进行了一些评论和讨论,以表明我们的结果扩展并改进了文献中的某些先前结果。最后,提供了两个例子及其仿真来说明理论结果的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第13期|6289019.1-6289019.11|共11页
  • 作者单位

    Hunan Normal Univ Coll Math & Stat Key Lab HPC SIP MOE Changsha 410081 Hunan Peoples R China|Nanjing Normal Univ Sch Math Sci Nanjing 210023 Jiangsu Peoples R China|Nanjing Normal Univ Inst Finance & Stat Nanjing 210023 Jiangsu Peoples R China;

    Hunan Normal Univ Coll Math & Stat Key Lab HPC SIP MOE Changsha 410081 Hunan Peoples R China;

    Jiangsu Polytech Coll Agr & Forestry Basis Dept Zhenjiang 212400 Jiangsu Peoples R China;

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